JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relations and Functions-I

  • question_answer
    Find the range of \[f(x)=sgn({{x}^{2}}-2x+3).\]

    A) \[\{1,-1\}\]

    B)        \[\{1\}\]

    C) \[\{-1\}\]           

    D)        None of these

    Correct Answer: B

    Solution :

    [b] \[{{x}^{2}}-2x+3={{(x-1)}^{2}}+1>0\,\forall \,x\in R\] Or \[f(x)=sgn({{x}^{2}}-2x+3)=1.\] hence, the range is {1}.


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